Solved: What is the velocity of the vector, Physics

What is the velocity of the vector

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Q: Velocity and acceleration: consider a velocity vector given in standard unit vector form in rectangular Cartesian coordinates as

v^→(t)=(3t⁴i^+7t^5/2j^+5e^2tk^)m/s

a. What is the acceleration at 2 seconds?

b. What is the displacement at 5 seconds?

c. What is the angle between the displacement and the acceleration at t=2.0s?

d. What is the velocity of the vector at 2 seconds?

e. What is the magnitude of the displacement at 5 seconds?

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